Details

sample27.0ms

Algorithm

intervals

Results

14.0ms

375×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
9	1285
8	444
7	215
6	145
5	126
4	121
3	82
2	35
1	13
0	7

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

0.2b	(* (- 3.0 (* 2.0 x)) (* x x))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-cbrt-cube` `add-exp-log`
3×	`add-sqr-sqrt` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`-un-lft-identity` `associate-l/` `add-cube-cbrt`
1×	`flip3--` `associate-r` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`

Counts

1 → 21

Calls

1 calls:

36.0ms

(* (- 3.0 (* 2.0 x)) (* x x))

series138.0ms

Counts

1 → 3

Calls

1 calls:

138.0ms

(* (- 3.0 (* 2.0 x)) (* x x))

simplify545.0ms

Counts

24 → 24

Iterations

Iter	Nodes
done	5000
2	950
1	149
0	49

prune87.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (- 3.0 (* x 2.0)))
0.2b	(* (* x (- 3.0 (* x 2.0))) x)

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `flip3--` `associate-l/` `-commutative` `flip--` `add-log-exp`
1×	`unswap-sqr`

Counts

2 → 44

Calls

2 calls:

13.0ms	(* x (- 3.0 (* x 2.0)))
22.0ms	(* (* x (- 3.0 (* x 2.0))) x)

series210.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(* x (- 3.0 (* x 2.0)))
118.0ms	(* (* x (- 3.0 (* x 2.0))) x)

simplify1.1s

Counts

50 → 50

Iterations

Iter	Nodes
done	5002
2	1347
1	209
0	74

prune145.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* 2.0 (pow x 3))
0.0b	(- (* (* x x) 3.0) (* 2.0 (pow x 3)))
0.2b	(* (* x x) 3.0)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`associate-r`
13×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`prod-exp`
5×	`add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `cube-prod` `associate-l` `cbrt-unprod`
3×	`pow-prod-down`
2×	`*-commutative` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `diff-log` `unpow3` `pow-exp` `flip--`

Counts

3 → 62

Calls

3 calls:

12.0ms	(* 2.0 (pow x 3))
14.0ms	(- (* (* x x) 3.0) (* 2.0 (pow x 3)))
14.0ms	(* (* x x) 3.0)

series172.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* 2.0 (pow x 3))
103.0ms	(- (* (* x x) 3.0) (* 2.0 (pow x 3)))
27.0ms	(* (* x x) 3.0)

simplify1.6s

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	1905
1	293
0	104

prune262.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x)
0.2b	(* (/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))) x)
0.3b	(/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-cbrt-cube` `add-exp-log`
21×	`associate-*l/`
13×	`prod-exp` `cbrt-unprod`
11×	`add-sqr-sqrt`
10×	`pow1` `associate-l`
9×	`*-un-lft-identity` `add-cube-cbrt`
8×	`frac-times` `flip3-+` `flip-+` `associate-/l/`
6×	`cbrt-undiv` `times-frac` `flip3--` `div-exp` `associate-r` `flip--`
4×	`pow-prod-down` `associate-*r/` `associate-/r/`
3×	`associate-/r*` `add-log-exp`
2×	`*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `associate-/l*` `unswap-sqr`

Counts

3 → 90

Calls

3 calls:

61.0ms	(* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x)
138.0ms	(* (/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))) x)
48.0ms	(/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

series452.0ms

Counts

3 → 9

Calls

3 calls:

237.0ms	(* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x)
119.0ms	(* (/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0))) x)
97.0ms	(/ (* (* (+ 3.0 (* x 2.0)) (- 3.0 (* x 2.0))) x) (+ 3.0 (* x 2.0)))

simplify1.8s

Counts

99 → 99

Iterations

Iter	Nodes
done	5002
2	3773
1	494
0	155

prune444.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample729.0ms

Algorithm

intervals

Results

530.0ms

12101×

body

valid